Geodesic
A topological asymptotic analysis for the regularized grey-level image classification problem
ESAIM: Mathematical Modelling and Numerical Analysis , Tome 41 (2007) no. 3, pp. 607-625

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The aim of this article is to propose a new method for the grey-level image classification problem. We first present the classical variational approach without and with a regularization term in order to smooth the contours of the classified image. Then we present the general topological asymptotic analysis, and we finally introduce its application to the grey-level image classification problem.

DOI : 10.1051/m2an:2007027
Classification : 35Q80, 49J20, 49K20, 65-04, 68-04, 68U10
Keywords: image classification, topological asymptotic expansion, image restoration 
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     author = {Auroux, Didier and Belaid, Lamia Jaafar and Masmoudi, Mohamed},
     title = {A topological asymptotic analysis for the regularized grey-level image classification problem},
     journal = {ESAIM: Mathematical Modelling and Numerical Analysis },
     pages = {607--625},
     publisher = {EDP-Sciences},
     volume = {41},
     number = {3},
     year = {2007},
     doi = {10.1051/m2an:2007027},
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     zbl = {1138.68622},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.1051/m2an:2007027/}
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Auroux, Didier; Belaid, Lamia Jaafar; Masmoudi, Mohamed. A topological asymptotic analysis for the regularized grey-level image classification problem. ESAIM: Mathematical Modelling and Numerical Analysis , Tome 41 (2007) no. 3, pp. 607-625. doi: 10.1051/m2an:2007027

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